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L 2 -Gain Synthesis

In: Analysis and Design of Nonlinear Control Systems

Author

Listed:
  • Daizhan Cheng

    (Chinese Academy of Sciences, Academy of Mathematics & Systems Science)

  • Xiaoming Hu

    (Royal Institute of Technology, Optimization and Systems Theory)

  • Tielong Shen

    (Sophia University, Department of Engineering and Applied Sciences)

Abstract

This chapter investigates L2-gain synthesis problem. As L2-induced norm, L2-gain is an extension of H ∞ norm of linear systems. Hence, L2-gain synthesis problem is usually called the nonlinear H ∞ control problem. Section 14.1 discusses the H ∞ norm and L2-gain. Then, the H ∞ design problem is formulated in Section 14.2 and the design principle for linear systems is introduced. Section 14.3 focuses on the L 2- gain synthesis problem for nonlinear systems. In Section 14.4, a constructive design approach is presented. Finally, some application examples are presented to illustrate the design techniques in Section 14.5.

Suggested Citation

  • Daizhan Cheng & Xiaoming Hu & Tielong Shen, 2010. "L 2 -Gain Synthesis," Springer Books, in: Analysis and Design of Nonlinear Control Systems, chapter 0, pages 403-429, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11550-9_14
    DOI: 10.1007/978-3-642-11550-9_14
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